Generalized Jordan (sigma, tau) - Higher Homomorphisms of a ring R into a ring R'

Abstract

Let R , R' be two prime rings and sⁿ,tⁿ be two higher homomorphisms of a ring R for all    n Î N ,  in the present paper we show that under certain conditions of R , every generalized Jordan (s,t)-higher homomorphism of a ring R into a prime ring R' is either generalized (s,t)-higher homomorphism or (s,t)-higher anti  homomorphism.

Key Words: prime ring , homomorphism , generalized Jordan higher homomorphism.

mathematic subject classification : 16 N 60 , 16 U 80  .